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Finding the Fourth Proportional to 104,944.51, 144,826.50 and 57,200.95

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Solution

The fourth proportional to 104,944.51, 144,826.50 and 57,200.95 is: 78,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,944.51 : 144,826.50 = 57,200.95 : x
  2. Step 2: Convert to fraction form
    104,944.51/144,826.50 = 57,200.95/x
  3. Step 3: Cross multiply
    104,944.51x = 144,826.50 × 57,200.95
  4. Step 4: Simplify right side
    104,944.51x = 8,284,213,385.18
  5. Step 5: Solve for x
    x = 8,284,213,385.18/104,944.51
  6. Step 6: Final answer
    x = 78,938.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.